Let $X=X^{mu}(x) frac{partial}{partial x^{mu}}$ be a vector field and let $g=g_{mu v}(x) d x^{mu} otimes d x^{v}$

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Let $X=X^{\mu}(x) \frac{\partial}{\partial x^{\mu}}$ be a vector field and let $g=g_{\mu v}(x) d x^{\mu} \otimes d x^{v}$ be a $(0,2)$ tensor. Compute the Lie derivative $\mathcal{L}_{X} g$.

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